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d. What is the probability that the randomly chosen student thinks a hotdog is a sandwich given that the student thinks dogs should wear pants on all 4 legs? e. Is the event "the student things a hotdog is a sandwich" independent of the event "the student thinks dogs should wear pants on their front legs"?

d. What is the probability that the randomly chosen student thinks a hotdog is a sandwich given that the student thinks dogs should wear pants on all 4 legs? e. Is the event "the student things a hotdog is a sandwich" independent of the event "the student thinks dogs should wear pants on their front legs"?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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parts d and e plz

Earlier in the term, students in Math 141 were asked two questions as part of a larger survey: "Are hot dogs sandwiches?" and "If dogs wore pants, would they wear them on their front legs, back legs, or on all four legs"? A summary of responses for 70 students is given below: Hotdog is a sandwich Hotdog is not a sandwich Front legs 1 Back legs All 4 legs 1 17 26 9. 16 Suppose we randomly choose 1 student who completed this survey. a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs should wear pants on their back legs" mutually exclusive? b. What is the probability that the randomly chosen student thinks a hotdog is a sandwich? c. What is the probability that the randomly chosen student thinks a hotdog is a sandwich and thinks that dogs should wear pants on all 4 legs? d. What is the probability that the randomly chosen student thinks a hotdog is a sandwich given that the student thinks dogs should wear pants on all 4 legs? e. Is the event "the student things a hotdog is a sandwich" independent of the event "the student thinks dogs should wear pants on their front legs"?
Transcribed Image Text:Earlier in the term, students in Math 141 were asked two questions as part of a larger survey: "Are hot dogs sandwiches?" and "If dogs wore pants, would they wear them on their front legs, back legs, or on all four legs"? A summary of responses for 70 students is given below: Hotdog is a sandwich Hotdog is not a sandwich Front legs 1 Back legs All 4 legs 1 17 26 9. 16 Suppose we randomly choose 1 student who completed this survey. a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs should wear pants on their back legs" mutually exclusive? b. What is the probability that the randomly chosen student thinks a hotdog is a sandwich? c. What is the probability that the randomly chosen student thinks a hotdog is a sandwich and thinks that dogs should wear pants on all 4 legs? d. What is the probability that the randomly chosen student thinks a hotdog is a sandwich given that the student thinks dogs should wear pants on all 4 legs? e. Is the event "the student things a hotdog is a sandwich" independent of the event "the student thinks dogs should wear pants on their front legs"?
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